Sum of the series $\sum_\limits {r=1}^n \frac{r}{(r+1) !}$ is

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

Sum of the series

\sum\limits_{{r=1}}^n \frac{r}{(r+1) !}

View answer and explanation

Correct option: B

1-\frac{1}{(n+1) !}

Option B (

1-\frac{1}{(n+1) !}

) is correct because the sum of the series can be simplified using partial fractions.

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